Answer:
x=11,y=10.
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
We can form an equation in x and y using this property.
2y+2=2x
and x+9=2y.
Solving the second equation for x ,
x=2y-9.
Substituting x value in 2y+2=2x
2y+2=2(2y-9)
Or ,2y+2=4y-18.
Adding 18 both sides:
2y+20=4y.
Subtracting 2y both sides
20=2y.
Dividing both sides by 2:
y=10.
x=2y-9
x=2(10)-9 ( substituting y value)
x=20-9=11
x=11 and y=10 will make the figure a parallelogram.
Answer:
2(x+y+2)=49
Step-by-step explanation:
-x/4-6>-8
Multiply both sides by 4
-x-24>-32
Move the constant to the right
-x>-32+24
-x>-8
Change the signs
x<8
Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:

The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).